factorize x³+4x²+x-6
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Answer:
factors: (x + 2) (x - 1) (x + 3)
Step-by-step explanation:
p(x)= x^3 + 4x^2 + x - 6
p(-2)=(-2)^3 + 4(-2)^2 + (-2) - 6
= -8 + 16 - 2 - 6
= 16 - 16
= 0
x = -2
(x + 2)
now, divide (x+2) by p(x) by method of long division
as shown in the picture attached below
hope it helps....
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